So heres what I have, I'm not sure about my logic at one step (I point it out where it is)

We know that . I feel like choosing because I feel like it will be east to pick my delta to cancel the 2 (is this logic correct?). Now, choosing a delta to get rid of the 2 in the , I chose delta so that and . Then I can take because this will still be . But then we can say that because really, is just some . (THIS is the part that I'm not sure on. Is y just some c?) Then we get

So heres what I have, I'm not sure about my logic at one step (I point it out where it is)

We know that . I feel like choosing because I feel like it will be east to pick my delta to cancel the 2 (is this logic correct?). Now, choosing a delta to get rid of the 2 in the , I chose delta so that and . Then I can take because this will still be . But then we can say that because really, is just some . (THIS is the part that I'm not sure on. Is y just some c?) Then we get

I can't really follow your logic.

Try rewriting it with this in mind.

. But, since is continuous at you can make those last two terms arbitrarily small by choosing arbitrarily close to ...

We know that . Because is continuous at , I can make arbitrarily small so that and
Now, choosing a delta to get rid of the 2 in the , I chose delta so that and . Then I can take because this will still be . But then we can say that because really, is just some . (THIS is the part that I'm not sure on. Is y just some c?) Then we get [/quote]

We know that . Because is continuous at , I can make arbitrarily small so that and
Now, choosing a delta to get rid of the 2 in the , I chose delta so that and . Then I can take because this will still be . But then we can say that because really, is just some . (THIS is the part that I'm not sure on. Is y just some c?) Then we get

[/QUOTE]
You are messing up the order in which you say things.

The fact that is the solution to the problem. You have to note that you can do this since you can make and by taking where and